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The action fantasy revolves around a boy (Lerman) who discovers that he is half-human and half-god, and sets out on a quest with two friends to rescue his mother from the Underworld.
Speaking to BlackBook, he said: "I think a lot of people are saying that mainly because Chris Columbus's name is attached to both films and we are selling it as, 'From the director of Harry Potter'.
"However, they're different movies. Do we want it to be as successful and as loved [as] the Harry Potter films? Of course, but they're pretty different stories."
He added: "This movie is transferring Greek mythology into the modern day. It's paralleling classic myths and introducing a new demi-god into the modern day world."
Lerman, 18, previously said that his character had little in common with wizard Harry Potter "except that he's an unlikely hero who's been thrown into a huge situation".
Percy Jackson And The Lightning Thief is in cinemas now.
More: Logan Lerman, Movies
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